Invariant currents and automorphic forms of an elementary Kleinian group (Q5945558)

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scientific article; zbMATH DE number 1657132
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Invariant currents and automorphic forms of an elementary Kleinian group
scientific article; zbMATH DE number 1657132

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    Invariant currents and automorphic forms of an elementary Kleinian group (English)
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    19 September 2002
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    The author computes the cohomology of currents in the hyperbolic space \(H^n\) invariant by some elementary Kleinian group and then uses this to compute the cohomology of harmonic coclosed automorphic forms on the hyperbolic space of even dimension for such a group. Computations confirm that cohomology of these forms is isomorphic to the cohomology of the quotient space, which is related to the Borel conjecture.
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    current
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    distribution
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    Kleinian group
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    automorphic form
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